11053452795264 has 768 divisors, whose sum is σ = 35754959036160. Its totient is φ = 3249546854400.

The previous prime is 11053452795263. The next prime is 11053452795271. The reversal of 11053452795264 is 46259725435011.

11053452795264 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 4 + 527 + 9 + 52 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11053452795264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11053452795263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25527604392 + ... + 25527604824.

It is an arithmetic number, because the mean of its divisors is an integer number (46555936245).

Almost surely, 2^{11053452795264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11053452795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877479518080).

11053452795264 is an abundant number, since it is smaller than the sum of its proper divisors (24701506240896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11053452795264 is a wasteful number, since it uses less digits than its factorization.

11053452795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 11053452795264 in words is "eleven trillion, fifty-three billion, four hundred fifty-two million, seven hundred ninety-five thousand, two hundred sixty-four".